Question: Please solve the following problems: You own a portfolio consisting of the stocks below: Stock or Security Percentage of Portfolio Beta Expected Return 1 20%
Please solve the following problems:
- You own a portfolio consisting of the stocks below:
| Stock or Security | Percentage of Portfolio | Beta | Expected Return |
| 1 | 20% | 1.00 | 12% |
| 2 | 30% | 0.85 | 8% |
| 3 | 15% | 1.20 | 12% |
| 4 | 25% | 0.60 | 7% |
| 5 | 10% | 1.60 | 16% |
The risk-free rate is 3%. Also, the expected return on the market portfolio is 11%.
a. Calculate the expected return of your (Hint: The expected return of a portfolio equals the weighted average of the individual stocks expected returns, where the weights are the percentage invested in each stock.)
b. Calculate the portfolio
- Assume you have the following
| Stock | Stock Weight | Beta |
| A | 38% | 1.50 |
| B | 15% | 1.44 |
| C | 27% | 1.15 |
| D | 20% | 1.20 |
- What is the portfolios beta?
a. Given the holding-period returns shown here, compute the average returns and the standard deviations for the ABC Corporation and for the market.
| Month | ABC Corp. | Market |
| 1 | 6% | 4% |
| 2 | 3% | 2% |
| 3 | -1% | 1% |
| 4 | -3% | -2% |
| 5 | 5% | 2% |
| 6 | 0% | 2% |
b. If ABCs beta is 1.54, and the risk-free rate is 4%, what would be an appropriate required return for an investor owning ABC Corp.? (Note: Because the returns of ABC Corporation are based on monthly data, you will need to annualize the returns to make them compatible with the risk-free rate. For simplicity, you can convert from monthly to yearly returns by multiplying the average monthly returns by )
c. How does ABCs historical average return compare with the return you believe to be appropriate, given the firms systematic risk?
- What is meant by the investors required rate of return? How do you measure the riskiness of an asset? How should the proposed measurement of risk be interpreted?
- What are an unsystematic risk (company-unique or diversifiable risk) and systematic risk (market or non- diversifiable risk)?
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